Quantum Annihilation of Anti- de Sitter Universe

TL;DR

This paper explores how quantum effects of conformal matter influence the creation and annihilation of Anti-de Sitter universes, revealing that quantum effects generally lead to annihilation unless specific conditions are met.

Contribution

It demonstrates that quantum conformal matter effects tend to destroy AdS universes on purely gravitational backgrounds, but creation is possible with fine-tuning in dilaton-gravitational settings.

Findings

Quantum effects cause annihilation of AdS universes on supersymmetric backgrounds.

Creation of AdS universe is possible with fine-tuning of the dilaton.

Annihilation occurs universally for conformal matter theories.

Abstract

We discuss the role of conformal matter quantum effects (using large $N$ anomaly induced effective action) to creation-annihilation of an Anti-de Sitter Universe. The arbitrary GUT with conformally invariant content of fields is considered. On a purely gravitational (supersymmetric) AdS background, the quantum effects act against an (already existing) AdS Universe. The annihilation of such a Universe occurs, what is common for any conformal matter theory. On a dilaton-gravitational background, where there is dilatonic contribution to the induced effective action, the quantum creation of an AdS Universe is possible assuming fine-tuning of the dilaton.